We continue the research initiated in Beauzamy et al. (J. Number Theory 36 (1990), 219-245) and Beauzamy et al. (to appear) about products of many-variable polynomials. We investigate the pairs \((P, Q)\) which are maximal for products in Bombieri's norm (that is for which \([P Q]\) is a large as po
Products of polynomials in many variables
β Scribed by Bernard Beauzamy; Enrico Bombieri; Per Enflo; Hugh L Montgomery
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 975 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0022-314X
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π SIMILAR VOLUMES
We study, for polynomials in many variables, the relations between the complex and the real sup-norms, and we give estimates involving the leading coefficients. We consider the case when the polynomial has a given degree, or some concentration at a given degree. The present paper is a contribution t
Let R be a ring of polynomials in m + n indeterminates x 1 , . . . , xm, y 1 , . . . , yn over a field K and let M be a finitely generated R-module. Furthermore, let (Rrs) r,sβN be the natural double filtration of the ring R and let (Mrs) r,sβN be the corresponding double filtration of the module M